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Simplifying 0.2(20 + -10x) + 3 = -4 + 4.5x (20 * 0.2 + -10x * 0.2) + 3 = -4 + 4.5x (4 + -2x) + 3 = -4 + 4.5x Reorder the terms: 4 + 3 + -2x = -4 + 4.5x Combine like terms: 4 + 3 = 7 7 + -2x = -4 + 4.5x Solving 7 + -2x = -4 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 7 + -2x + -4.5x = -4 + 4.5x + -4.5x Combine like terms: -2x + -4.5x = -6.5x 7 + -6.5x = -4 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 7 + -6.5x = -4 + 0.0 7 + -6.5x = -4 Add '-7' to each side of the equation. 7 + -7 + -6.5x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -6.5x = -4 + -7 -6.5x = -4 + -7 Combine like terms: -4 + -7 = -11 -6.5x = -11 Divide each side by '-6.5'. x = 1.692307692 Simplifying x = 1.692307692
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